Answer:
s ≥ 170
Step-by-step explanation:
The problem raises the following statement: "The cruising speed of the bullet train will be at least 170 miles per hour"
Which means that the train has a speed of 170 miles for now or higher, knowing this we can pose the inequality.
Knowing that "s" is the train's cruising speed (in miles per hour), we have to:
s ≥ 170
This would be the inequality that the statement represents.
Answer:
Both of them can be simplified.
Recall that 4 = 2^2.
2^7 / 4^2 = 2^7 / (2^2)^2 = 2^7 / 2^4 = 2^(7-4) = 2^3 = 8
Similarly, 2^7 / 2^4 = 2^(7-4) = 2^3 = 8
The answers to both exercises are 8.
Answer:
2a = 108
Step-by-step explanation:
the 3 angles of the triangle add to 180
lets call the unknown angle in the triangle y
a+10 + y + 44 = 180
we also know that 2a+ y = 180 because it makes a straight line
solve this for y by subtracting 2a from each side
2a +y = 180
y = 180 -2a
now we can substitute this into the triangle equation
a+10 + y + 44 = 180
a+10 + 180 -2a + 44 = 180
combine like terms
-a +234 = 180
subtract 234 from each side
-a = --54
divide each side by -1
a =54
the exterior angle is 2a
2* 54
108
Answer:
See below ↓
Step-by-step explanation:
We need to check the different time intervals to find the max. height
- t = 0 or 1 [both give same result]
- f(1) = -16(1) + 16(1) + 12 = 12 feet
2. t = 2
- f(2) = -16(2)² + 16(2) + 12 = -20 feet
⇒ Clearly as she is diving, her maximum height will be her initial height which is <u>12 feet</u>
⇒ To achieve this, it takes her <u>0 seconds</u> [initial height = no time needed]
<u>Taking f(x) = 0 [surface of water → just touching/hit the water]</u>
- 0 = -16x² + 16x + 12
- 4x² - 4x - 3 = 0
- 4x² - 6x + 2x - 3 = 0
- 2x(2x - 3) + 1(2x - 3) = 0
- (2x + 1)(2x - 3) = 0
- x is positive
- x = 3/2 = <u>1.5 seconds</u>
<u></u>
⇒ After 1 second, she is <u>12 feet</u> above the water
⇒ The diving board is <u>12 feet</u> above the water
Each pack of batteries cost $21 each.
And then you have $63.
The operation to be used: Division.
63 ÷ 21 ==
Answer: 3
= You can buy 3 packs of batteries with your $63.
